Stereotype Spaces And Algebras

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Stereotype Spaces And Algebras

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Author : Sergei S. Akbarov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-08-22

Stereotype Spaces And Algebras written by Sergei S. Akbarov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-22 with Mathematics categories.

The term “stereotype space” was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry.

Stereotype Spaces And Algebras

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Author : Sergei S. Akbarov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-08-22

Stereotype Spaces And Algebras written by Sergei S. Akbarov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-22 with Mathematics categories.

The term "stereotype space" was introduced in 1995 and is used for a category of locally convex spaces with surprisingly elegant properties. In particular, it consists of spaces reflexive in the sense of Pontryagin, and at the same time it is very wide, since it contains all Fréchet spaces. Its study gives an unexpected point of view on functional analysis that brings this field closer to other main branches of mathematics, namely, to algebra and geometry.

Topological Homology

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Author :
language : en
Publisher: Nova Biomedical Books
Release Date : 2000

Topological Homology written by and has been published by Nova Biomedical Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

Contains some results obtained during seminars over the last few years. The seven papers discuss stereotype spaces, algebras and homologies; flat operator modules and their dual modules; homological dimensions of C*- algebras; Wedderburn-type theorems for operator algebras and modules; injective topological modules and additivity formulas for homological dimensions; coretraction problems and homological properties of Banach algebras; and the Sobolev algebra and indecomposable spatially projective operator algebras.

C Algebras And Applications To Spaces Of Bounded Functions

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Author : Sean Effinger-Dean
language : en
Publisher:
Release Date : 2006

C Algebras And Applications To Spaces Of Bounded Functions written by Sean Effinger-Dean and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2007

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

Topological Algebras Their Applications And Related Topics

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Author : Krzysztof Jarosz
language : en
Publisher:
Release Date : 2005

Topological Algebras Their Applications And Related Topics written by Krzysztof Jarosz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Topological algebras categories.

Topological Algebras With Involution

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Author : M. Fragoulopoulou
language : en
Publisher: Elsevier
Release Date : 2005-07-26

Topological Algebras With Involution written by M. Fragoulopoulou and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-26 with Mathematics categories.

This book familiarizes both popular and fundamental notions and techniques from the theory of non-normed topological algebras with involution, demonstrating with examples and basic results the necessity of this perspective. The main body of the book is focussed on the Hilbert-space (bounded) representation theory of topological *-algebras and their topological tensor products, since in our physical world, apart from the majority of the existing unbounded operators, we often meet operators that are forced to be bounded, like in the case of symmetric *-algebras. So, one gets an account of how things behave, when the mathematical structures are far from being algebras endowed with a complete or non-complete algebra norm. In problems related with mathematical physics, such instances are, indeed, quite common. Key features: - Lucid presentation- Smooth in reading- Informative- Illustrated by examples- Familiarizes the reader with the non-normed *-world- Encourages the hesitant- Welcomes new comers. - Well written and lucid presentation.- Informative and illustrated by examples.- Familiarizes the reader with the non-normed *-world.

Integral Representation

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Author : Walter Roth
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-10-04

Integral Representation written by Walter Roth and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-04 with Mathematics categories.

This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions. It covers convergence theorems and an integral representation for linear operators on spaces of continuous vector-valued functions on a locally compact space. These are used to extend Choquet theory, which was originally formulated for linear functionals on spaces of real-valued functions, to operators of this type.

Convexity Properties Of State

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Author : 蘇華先
language : en
Publisher: Open Dissertation Press
Release Date : 2017-01-27

Convexity Properties Of State written by 蘇華先 and has been published by Open Dissertation Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-27 with Mathematics categories.

This dissertation, "Convexity Properties of State Spaces of Uniform Algebras" by 蘇華先, Wa-sin, So, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b3120741 Subjects: Uniform algebras

The D Bar Neumann Problem And Schr Dinger Operators

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Author : Friedrich Haslinger
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-09-18

The D Bar Neumann Problem And Schr Dinger Operators written by Friedrich Haslinger and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-18 with Mathematics categories.

This book's subject lies in the nexus of partial differential equations, operator theory, and complex analysis. The spectral analysis of the complex Laplacian and the compactness of the d-bar-Neumann operator are primary topics.The revised 2nd edition explores updates to Schrödinger operators with magnetic fields and connections to the Segal Bargmann space (Fock space), to quantum mechanics, and the uncertainty principle.